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The inverse problem to matrix polynomial factorisation and its application to circuit design

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1 Author(s)
Z. W. Trzaska ; Technical University of Warsaw, Faculty of Electrical Engineering, Warsaw, Poland

The second-order state-space technique is developed to accommodate the active circuit design process in the frequency domain. The concept of an eigenmatrix of linear second order multivariable circuit models uses, for the first time, the matrix polynomial of degree 2 to approach the design procedure on the basis of a given set of scalar frequencies. New theorems for the matrix roots of a matrix polynomial are proved. This leads to a novel form of linear active circuit design. Dans cet article on a développé une technique dans la méthode des variables d'état du deuxiÿme ordre pour l'accomoder au processus de la synthÿse des circuits actifs en domaine de fréquence. Un concept des matrices propres d'un circuit dynamique à variables multiples est introduit une premiÿre fois dans l'utilisation des polynÿmes matriciels du deuxiÿme ordre pour approcher le processus de la synthÿse sur la base d'un ensemble donné des fréquences scalaires. Des thérÿme nouveaux pour des racines materials d'un polynÿme matriciel sont prouvés dans l'article. Ceci conduit à une méthode nouvelle de la synthÿse des circuits dynamiques actifs.

Published in:

IEE Proceedings G - Electronic Circuits and Systems  (Volume:132 ,  Issue: 5 )